Geodesic
On Density Properties of the Riesz Capacities and the Analytic Capacity~$\gamma _+$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 143-156

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We prove rather precise results on density properties of the Riesz capacities in $\mathbb R^N$ and the analytic capacity $\gamma _+$ in $\mathbb R^2$. 
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     author = {P. Mattila and P. V. Paramonov},
     title = {On {Density} {Properties} of the {Riesz} {Capacities} and the {Analytic} {Capacity~}$\gamma _+$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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P. Mattila; P. V. Paramonov. On Density Properties of the Riesz Capacities and the Analytic Capacity~$\gamma _+$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 143-156. http://geodesic.mathdoc.fr/item/TM_2001_235_a9/